Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 6AYU

To test H0: σ = 0.35 versus H1: σ < 0.35, a random sample of size n = 41 is obtained from a population that is known to be normally distributed.

  1. (a) If the sample standard deviation is determined to be s = 0.23, compute the test statistic.
  2. (b) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, determine the critical value.
  3. (c) Draw a chi-square distribution and depict the critical region.
  4. (d) Will the researcher reject the null hypothesis? Why?
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